ln(2+19)=ln(7x-8)

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Solution for ln(2+19)=ln(7x-8) equation:


Simplifying
ln(2 + 19) = ln(7x + -8)

Combine like terms: 2 + 19 = 21
ln(21) = ln(7x + -8)

Reorder the terms for easier multiplication:
21ln = ln(7x + -8)

Reorder the terms:
21ln = ln(-8 + 7x)
21ln = (-8 * ln + 7x * ln)
21ln = (-8ln + 7lnx)

Solving
21ln = -8ln + 7lnx

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '8ln' to each side of the equation.
21ln + 8ln = -8ln + 8ln + 7lnx

Combine like terms: 21ln + 8ln = 29ln
29ln = -8ln + 8ln + 7lnx

Combine like terms: -8ln + 8ln = 0
29ln = 0 + 7lnx
29ln = 7lnx

Add '-7lnx' to each side of the equation.
29ln + -7lnx = 7lnx + -7lnx

Combine like terms: 7lnx + -7lnx = 0
29ln + -7lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(29 + -7x) = 0

Subproblem 1

Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(29 + -7x)' equal to zero and attempt to solve: Simplifying 29 + -7x = 0 Solving 29 + -7x = 0 Move all terms containing l to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -7x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -7x = 0 + -29 -7x = 0 + -29 Combine like terms: 0 + -29 = -29 -7x = -29 Add '7x' to each side of the equation. -7x + 7x = -29 + 7x Combine like terms: -7x + 7x = 0 0 = -29 + 7x Simplifying 0 = -29 + 7x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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